105102305 has 48 divisors (see below), whose sum is σ = 163010880. Its totient is φ = 64310400.

The previous prime is 105102299. The next prime is 105102331. The reversal of 105102305 is 503201501.

It is not a de Polignac number, because 105102305 - 2⁴ = 105102289 is a prime.

It is a super-2 number, since 2×105102305² = 22092989032626050, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 158675 + ... + 159335.

It is an arithmetic number, because the mean of its divisors is an integer number (3396060).

Almost surely, 2^105102305 is an apocalyptic number.

It is an amenable number.

105102305 is a deficient number, since it is larger than the sum of its proper divisors (57908575).

105102305 is a wasteful number, since it uses less digits than its factorization.

105102305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 105102305 is about 10251.9415234384. The cubic root of 105102305 is about 471.9225685128.

Adding to 105102305 its reverse (503201501), we get a palindrome (608303806).

The spelling of 105102305 in words is "one hundred five million, one hundred two thousand, three hundred five".